Question

Pressure inside two soap bubbles is 1.01 and 1.02 atmosphere. The ratio between their volume is:

• A. 102 : 101
• B. $(102{)}^3:(101{)}^3$
• C. 8 : 1
• D. 2 : 1

Answer 1

The correct option is C 8 : 1

Pressure $\times$ Radius = Surface Tension
Here the pressure is Gauge Pressure, i.e the difference between absolute pressure and atmospheric pressure
Hence ratio of gauge pressures is $1:2$
Accordingly ratio of radii is $2:1$
Since $Volume\propto radiu{s}^3$
Hence ratio of volumes is $8:1$